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How To: Compare methods of solving quadratic equations

In this video the instructor shows the different methods of solving quadratic equations. There are many methods to solve quadratic equations each with its pros and cons, each method suitable for a particular situation. The first method to solve quadratic equation is factoring. The advantage of using this method is that it is quick and easy. But the problem is not all equations can be factored very easily. This method requires a lot of practice and intuition. Use this method when the discrimin...

How To: Convert temperature using y = mx + b

In this video the instructor shows how to do temperature conversions using y = m*x + b. Now if Celsius is represented by the variable C and Fahrenheit is represented by the symbol F, you can replace then in the previous equation in place of the variables x and y giving you the equation C = m*F + b. Now to solve for the values of the constants m and b you need to have values of two sample temperatures in both Celsius and Fahrenheit. Take the first sample and substitute in the above equation gi...

How To: Graph linear inequalities

In this video the instructor shows how to graph linear inequalities. A linear in a equation is almost similar to a linear equation except for the sign in the equation. Now treat the in equation as a linear equation and graph the line. So substitute the lesser than or greater than symbol in the liner in equation with the equals to sign and graph the equation. Find the slope of the equation and identify the points that the line passes through. Now take a point on the either side of the pointed ...

How To: Solve percent equations

In this tutorial the instructor shows how to solve percent equations. The general form of a percent equations is that a is b% of c. As there can be three kinds of variables a, b, c, the questions involving percent equations can be of three types having one of the three variables unknown. These kind of percent statements can be solved easily by setting up an equation. So, to convert percent statement into a equation replace the unknown term with n, the 'is' term with equals sign and the '%' si...

How To: Solve rational equations

In this video the instructor shows how to solve rational equations. If you have fractions in your equation, then you need to factorize the denominators first. Now compute the least common denominator of all the denominators of the fraction. Next multiply both sides of the equation with the least common denominator. This cancels out all the denominators of all the fractions and you are left with a linear equation. Now simply multiply the remaining terms in the numerator and add common terms to...

How To: Solve a quadratic equation

In this video the instructor shows how to solve a quadratic equation. If you have a quadratic equation with complex fractional terms and you find that a particular term is repeating then equate that term to a new variable and replace the variable in the given equation. Now try to get the equation a*x*x + b*x + c = 0, and solve for the roots of the equation which gives the values of the intermediate variable. But this variable was replaced instead of another term. So equate that term to the va...

How To: Solve radical equations easily

In this video, the instructor demonstrates how to solve radical equations and inequalities. If you have an equation that contains radicals, re-,arrange the equation so that all the radicals are on one side and the integers are on the other side. To cancel a square root from an equation, square both sides of the equation. The square of the equation cancels out the square root, thereby removing the radical. Even after squaring if you still have a radical left, treat it as a new problem and appl...

How To: Find the equation of a perpendicular line

In this video the instructor shows how to find out an equation of a perpendicular line. If you need to find the equation of a line passing through the given point and perpendicular to another line, the first thing you need to do is compute the slope of the given line. Obtain the slope of the equation by writing it in the form of y = mx + b. Now the product of slopes of two perpendicular lines is negative one. So the slope of our required line will be negative inverse of the slope of given lin...

How To: Solve an equation using the point slope form

In this video the instructor shows how to derive a general equation for a line in Point-Slope form. The slope of an equation is the ratio of difference of y coordinates to the difference of x coordinates. In other words, slope is the change of y up on change of x. So you have the basic slope equation m = (y2 - y1)/(x2 - x1). When you have fractions you can simplify them by multiplying the denominator to the numerator on both sides. So multiply the equation by (x2-x1) on both sides. This gives...

How To: Multiply rational expressions in two "easy" steps

In this Math Made Easy tutorial the instructor shows how to multiply rational equations. He states that multiplying rational equations is simply a process of simplifying equations, in which he says that first the polynomial equations should be factorized. He further shows how to factorize the equations by solving an example. After factorizing them he reduces the common terms on the numerator and the denominator and finally arrives at the new simplified equation. This video clearly shows the m...

How To: Find points of intersection in different equations

In this tutorial the instructor shows how to solve linear and quadratic equations. It is a liner quadratic system where he shows a parabola and a straight line and he intends to solve the points where the line intersects the parabola. Now he uses comparison to compare the values of y in both the equation resulting in a equation in x. Now he shows the factors of the obtained polynomial equation and there by finding the values of x coordinates. Now he substitutes these values of x in the origin...

How To: Isolate a variable

If you're struggling a bit with algebra, check out this video to learn how to isolate a variable. Isolating a variable is a matter of separating and simplifying.

How To: Balance a chemical equation easily

In this video, we learn how to balance a chemical equation. First, take a look at both sides of the equation and figure out how many atoms there are for both. Once you write this out, you will have an idea of how unbalanced it is. Now that you've done this, you need to think about how you can make the equation equal. Look at the first line and then see how many you have to add to one side to make both equal to each other. Then, go to the second line and do the same. When finished, you will ha...

How To: Factor quadratic equations in algebra

From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test). With this installment from Internet pedagogical superstar Salman Khan's series of free algebra tutorials, you'll learn how to solve quadratic equations by factoring in algebra.

How To: Solve an algebraic equation with a fractional variable

Could you use some help figuring out how to solve equations involving fractions in basic algebra? See how it's done with this free video math lesson. Need help finding the From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test). With this installment from Internet ...

How To: Write equations in pre-Algebra

This is a video tutorial in the Education category where you are going to learn how to write equations in pre-Algebra. Write an equation that represents the following sentence and then solve the equation. The product of n and 6 is 12. That's n multiplied by 6 or 6n = 12. We want to solve our equation for n. That is we want to get n all by itself on the left hand side. Since n is multiplied by 6, we got to divide both sides by 6. So, we get 6n/6 = 12/6. On the left hand side of the equation, 6...

How To: Complete the square

Quadratic equations are easy to solve when they can be factorized. This video teaches another method of solving a quadratic equation when its not easy to find factors for it.

How To: Balance an easy chemical equation

In this video, we learn how to balance an easy chemical equation. You can do your equation by testing it out with the actual chemicals. Watch and see what the reaction is as they start to mix together. To balance this reaction out, you will need to analyze the number of atoms that each element has on both sides of the equation. For it to be balanced, you must have the same number of products and reactants in the equation. You cannot create or destroy matter, you can only change its form, so r...

How To: Balance chemical equations properly

In this video we learn how to balance chemical equations properly. What is a chemical equation? It's a statement that uses a chemical formula to show identities and relative amounts of the substances involved in a chemical reaction. To balance an equation out you must have the same number of atoms on both sides of the chemical equation. Or, you must have the same amount of mass or matter on both of the sides. Once you have these balanced out so they are the same then you will have it complete...

How To: Evaluate functions

In this tutorial, we learn how to evaluate functions. A function is an equation with an input and an output. For the value of "X" there is going to be a value for the rest of the values that are in the equation. To start, write out the equation, then substitute the "x" with the appropriate number. After this, substitute the "x" in the rest of the equation where it belongs. Once finished, work out the rest of the equation in the appropriate order. Now you will be able to finish it and get the ...

How To: Graph linear inequalities

Solving the Inequalities using graph, first you have to take the inequality equation into equal. Then convert the equation into straight line equation i-e(y=mx+c). Giving own values for 'x' like (-1, 0, 1) we would get the value for 'y'. By plotting these points in the graph, you will get an straight line. If the given equation is greater than symbol, shade towards the positive part. If the given equation is smaller than symbol, shade towards the negative part. This is an one method to solvin...

How To: Solve algebraic equations with the y = mx+b format

This video shows us how to solve algebraic equations with the y = mx+b format. When talking about solving y=mx+b format, it’s about solving linear equations so that y is on one side and with some terms x on the other side. Here in this equation 'm' is actually the slope of the line and slope= (rise/run) and it is interrupted with the term 'b'. This can be explained by taking an example of the same format. In the example 2x+3y=9, we need to shift the term '2x' to the other side so that the equ...

How To: Solve an equations for x

This video demonstrates how to solve algebraic equations of the first degree for the variable, "X"; in other words, the variables contained in these equations are not raised to any power other than one, which is implicit. The video starts out with an example of such an algebraic equation. Before beginning to solve the equation, the video explains the meaning of the equals sign, the definition of an equation, and what a variable is. Next the video explains what is meaning by "solving for X". T...

How To: Graph linear equations using y=mx+b

This video is an instructional guide about Graph Linear Equations presented in algebraic form. It is an easy to follow, step by step guide to solving such equations using the graph intercept formula. The first example equation is Y = 2x -1 over y = mx + b. The video then shows you how to breakdown the equation into manageable sums using fractions to represent the data, and then presents the formula for interpreting the answer from these sums onto the graph co-ordinates. The second and third e...

How To: Solve rational equations easily

This video revolves around solving rational equations in Algebra 2. When you are given a rational equation, you have to find the greatest common factor and multiply all fractions to get that common factor. If a fraction already has that common factor, then no further step is necessary for that one. Next, you have to multiply all fractions by the greatest common factor to get rid of all denominators. Finally, the remaining equation is simple math and you only need to solve the equation for the...

How To: Graph a linear equation

In this video tutorial, viewers learn how to graph a linear equation. The linear equations example used in this video is y= 1/3x-3. The equation to graph a linear equation is y= mx+b. Now substitute each number into the equation. Therefore, m= 1/3 and b= -3. Begin by graphing the Y-intercept. M is the slope and b is the y-intercept. Plot the y-intercept on the -3 axis. Then move up once and to the side 3 times. This video will benefit those viewers who are struggling with this math unit and a...

How To: Solve an equation with a radical under a radical

In this video the instructor shows how to solve an equation with a radical under a radical. If you have an equation with a square root on both sides, with one of the sides having another inner square root under the original square root, it can be a little tricky to solve it.

How To: Solve quadratic equations by square root method

In this video the instructor shows how to solve quadratic equation by the square root method. The square root property of equations states that if k is positive and a*a = k, then a is equal to square root of k or -1 times the square root of k. So to solve a quadratic equation by square root property first get the equation in the form of a*a = k. Now apply the square root property explained in the previous step to get the result. The instructor now demonstrates these concepts by solving some e...

How To: Solve equations with fractions and decimals

In this tutorial the instructor shows how to solve equations with fractions and decimals. When you have a fraction first try to simplify it by canceling out the common factors in the numerator and the denominator. If there are any decimals convert them into fractions. Now if you have a number multiplying a equation apply distributive law and simplify the equation. Now finally try to get the variables on one side and numerical terms on the other side of the equation and finally solve for the u...

How To: Find the equation of a circle given: center & tangent

In this video, the instructor shows how to find the equation of a circle given its center point and a tangent line to it. To do this, take a graph and plot the given point and the tangent on that graph. Now, from the center of the circle, measure the perpendicular distance to the tangent line. This gives us the radius of the circle. Using the center point and the radius, you can find the equation of the circle using the general circle formula (x-h)*(x-h) + (y-k)*(y-k) = r*r, where (h,k) is th...

How To: Solve a quadratic equation by quadratic formula

This video is describing how to solve quadratic equation by quadratic formula. The quadratic equation is given in the video and we will use quadratic formula. We will put the equation in the formula our equation is 4psquare= -23p - 15. Now add 23 to both sides and then add 15 to both sides now we will get an easy equation, 4 will be used as a and 23 will be used as b and 15 will be used as c and we have a=4,b=23 and c=15 put these values in the quadratic formula and we have the value of p=5.-...

How To: Solve linear inequalities

In this video you can learn how to solve linear inequalities. Understand the basics of inequalities and linear equations. In an inequality, we say that that one number is greater than (>) another number or less than (<) another. On occasion we say that something is greater than or equal to, or less than or equal to. In a basic linear equation, we solve for the variable of x by subtracting the value from the opposite side or the = sign. Start by writing your equation on a sheet of paper. It wi...

How To: Derive a point-slope equation from a graph

Do the words point-slope equation send your head into a spin? Well hold on tight, because the mathproblemgenerator.com has your cure? Here you can find a informative video about calculating slope, as well as finding points to substitute into the equation. After watching this video, you will be well prepared to produce a point-slope equation from any graph.

How To: Solve an equation by the distributive property

In this simple tutorial the tutor shows how to solve equation by the distributive property. He states that when there is a number which is multiplied to a full equation, we have to multiply each and every term of that equation by that multiplying number. This is called the distributive property as the value is distributed to each and every term inside the equation. He goes on and solves a problem based on this property to give a clear idea of the property. This video shows how to solve equati...

How To: Solve a system of equations via the elimination method

Elimination in mathematics is used to find the solution set of a system of equalities. This video tutorial shows how to use elimination to find the solution set of a given equation and offers several examples to illustrate the process. Before applying this method, the equation must be in the form “Ax +By=C.” When graphing a set of mathematical equations that intersect, the answer to the elimination is the point on the graph where the two lines cross.

How To: Write a slope-intercept equation perpendicular to line

In this tutorial the instructor shows how to write a Slope-intercept equation that is perpendicular to a line and passes through a point. He shows how to do this by solving an example with sample values. He says that the slope of a line perpendicular to the original line is the negative inverse of the slope of original line. Now he writes down the slope value in the general equation y = mx + c, and by substituting the sample value in the equation he obtains the value of the Y-intercept c, thu...

How To: Work with math equations in Microsoft Excel 2010

Learn how to store, use and manipulate equations in MS Excel 2010. Whether you're new to Microsoft's popular spreadsheet application or a seasoned business professional just looking to better acquaint yourself with the unique features of Excel 2010, you're sure to be well served by this video tutorial. For more information, and to get started using mathematical equations and formulas in your own 2010 worksheets, watch this free video guide.